%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ALG363-1 : TPTP v9.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Jul 24 09:46:15 AM UTC 2025
% Result : Unsatisfiable 17.21s 2.58s
% Output : CNFRefutation 17.21s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_0)
% Comments :
%------------------------------------------------------------------------------
cnf(611,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l0,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(instantiation,[status(thm)],[611]) ).
cnf(610,plain,
c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(X0)),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(cnf,[status(esa)],[cls_CHAINED_0_01]) ).
cnf(l2,plain,
c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(instantiation,[status(thm)],[610]) ).
cnf(495,plain,
( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
| ~ c_lessequals(X1,X3,X2)
| ~ class_Orderings_Opreorder(X2)
| c_HOL_Oord__class_Oless(X0,X3,X2) ),
inference(cnf,[status(esa)],[cls_order__less__le__trans_0]) ).
cnf(l1,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Orderings_Opreorder(tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(instantiation,[status(thm)],[495]) ).
cnf(664,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
inference(cnf,[status(esa)],[clsarity_RealDef__Oreal__Orderings_Opreorder]) ).
cnf(l34,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
inference(instantiation,[status(thm)],[664]) ).
cnf(538,plain,
( ~ class_Ring__and__Field_Oordered__semidom(X0)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X0),X0),X0) ),
inference(cnf,[status(esa)],[cls_less__add__one_0]) ).
cnf(l8,plain,
( ~ class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(instantiation,[status(thm)],[538]) ).
cnf(635,plain,
class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal),
inference(cnf,[status(esa)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom]) ).
cnf(l18,plain,
class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal),
inference(instantiation,[status(thm)],[635]) ).
cnf(539,plain,
( ~ c_lessequals(X0,X1,X2)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)
| c_lessequals(c_HOL_Oplus__class_Oplus(X0,X3,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2) ),
inference(cnf,[status(esa)],[cls_add__le__cancel__right_1]) ).
cnf(l9,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(instantiation,[status(thm)],[539]) ).
cnf(609,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
inference(cnf,[status(esa)],[cls_CHAINED_0]) ).
cnf(l11,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
inference(instantiation,[status(thm)],[609]) ).
cnf(613,plain,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
inference(cnf,[status(esa)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le]) ).
cnf(l25,plain,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
inference(instantiation,[status(thm)],[613]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l1,l34,l8,l18,l9,l11,l25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG363-1 : TPTP v9.0.0. Released v4.1.0.
% 0.06/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jul 20 03:29:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % launching worker at depth: 5
% 0.13/0.36 % launching worker at depth: 6
% 0.13/0.36 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 2
% 0.13/0.36 % launching worker at depth: 3
% 0.13/0.36 % launching worker at depth: 4
% 0.13/0.36 % launching worker at depth: 1
% 0.13/0.36 % launching worker at depth: 7
% 0.13/0.37 % launching worker at depth: 9
% 0.20/0.54 % launching worker at depth: 10
% 17.21/2.58 % SZS status Theorem for theBenchmark
% 17.21/2.58 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------